Abelian Groups and Representations of Finite Partially Ordered Sets
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Beschreibung
A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible.
Autor*in
David Arnold
Themen in »Abelian Groups and Representations of Finite Partially Ordered Sets«
Abelian group Algebraic structure Group theory Vector space endomorphism ring
Stimmen zu »Abelian Groups and Representations of Finite Partially Ordered Sets«
From the reviews:
MATHEMATICAL REVIEWS
"The book provides a rich source or a variety of readers. As noted above, it offers an excellent and much-needed introduction to the subject of representations of posets. It could readily be used for a second year graduate course in algebra, with many tools and suggestions for cutting edge research. Finally, it is a handy reference for anyone interested in the study of torsion-free abelian groups of finite rank or related questions in representations of posets. If writing this review had not put a free copy on my bookshelf, I would rush to the web to order one."
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